Question

slips of paper marked with the numbers 1, 2, 3, and 4 are placed in a box. after being mixed, two slips are drawn simultaneously. write out the sample space s, choosing an s with equally likely outcomes, if possible. then give the value of n(s) and tell whether the outcomes in s are equally likely. finally, write the indicated events below in set notation. a. both slips are marked with even numbers. b. one slip is marked with an odd number and the other is marked with an even number. c. both slips are marked with the same number. what is the sample space? a. s = {(1,3)} b. s = {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)} c. s = {(1,2), (1,4), (3,2), (3,4)} d. s = {1, 2, 3, 4} the value of n(s) is \boxed{}

Explanation:

Step1: Identify the sample space

We are drawing two slips simultaneously from numbers 1, 2, 3, 4. The sample space should consist of all possible pairs of distinct numbers (since we draw two slips). The set \( S = \{(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)\} \) as in option B.

Step2: Calculate \( n(S) \)

To find \( n(S) \), we count the number of elements in the set \( S \). Looking at the set \( \{(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)\} \), we can see there are 6 elements.

Answer:

6